Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age
This article proposes a mathematical model of an inverted analemmatic sundial, provides formulas for calculating the coordinates of their hour markers. On the example of the Belogorsk sundial, a method is described for determining the accuracy of time measurement using an inverted analemmatic sundia...
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Format: | Article |
Language: | English |
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Archaeoastronomy and Ancient Technologies
2022-12-01
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Series: | Archaeoastronomy and Ancient Technologies |
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Online Access: | https://aaatec.org/art/a_vl18 |
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author | Vodolazhskaya, L.N. |
author_facet | Vodolazhskaya, L.N. |
author_sort | Vodolazhskaya, L.N. |
collection | DOAJ |
description | This article proposes a mathematical model of an inverted analemmatic sundial, provides formulas for calculating the coordinates of their hour markers. On the example of the Belogorsk sundial, a method is described for determining the accuracy of time measurement using an inverted analemmatic sundial, in which cup marks are used as hour markers. The obtained value of the accuracy of time measurement with the help of the Belogorsk sundial is 5÷6 minutes and is quite good for a measuring instrument of the Bronze Age, and is also higher than the accuracy of time measurement with the help of a water clock. As a result, it is concluded that the hypothesis is confirmed that the invention of the sundial was associated with the need to improve the accuracy of time measurement using a water clock. |
first_indexed | 2024-04-10T15:31:48Z |
format | Article |
id | doaj.art-ea47f80adde649b683d93f6e1cb7d463 |
institution | Directory Open Access Journal |
issn | 2310-2144 |
language | English |
last_indexed | 2024-04-10T15:31:48Z |
publishDate | 2022-12-01 |
publisher | Archaeoastronomy and Ancient Technologies |
record_format | Article |
series | Archaeoastronomy and Ancient Technologies |
spelling | doaj.art-ea47f80adde649b683d93f6e1cb7d4632023-02-13T17:43:44ZengArchaeoastronomy and Ancient TechnologiesArchaeoastronomy and Ancient Technologies2310-21442022-12-01102162910.24412/2310-2144-2022-1021629Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze AgeVodolazhskaya, L.N.0Institute of Physics and Technology, V.I. Vernadsky Crimean Federal University; Southern Federal UniversityThis article proposes a mathematical model of an inverted analemmatic sundial, provides formulas for calculating the coordinates of their hour markers. On the example of the Belogorsk sundial, a method is described for determining the accuracy of time measurement using an inverted analemmatic sundial, in which cup marks are used as hour markers. The obtained value of the accuracy of time measurement with the help of the Belogorsk sundial is 5÷6 minutes and is quite good for a measuring instrument of the Bronze Age, and is also higher than the accuracy of time measurement with the help of a water clock. As a result, it is concluded that the hypothesis is confirmed that the invention of the sundial was associated with the need to improve the accuracy of time measurement using a water clock.https://aaatec.org/art/a_vl18cup marksslabsundialinvertedanalemmabronze ageaccuracy of time measurement |
spellingShingle | Vodolazhskaya, L.N. Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age Archaeoastronomy and Ancient Technologies cup marks slab sundial inverted analemma bronze age accuracy of time measurement |
title | Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age |
title_full | Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age |
title_fullStr | Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age |
title_full_unstemmed | Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age |
title_short | Mathematical model of inverted analemmatic sundial on the example of Belogorsk sundial of the Bronze Age |
title_sort | mathematical model of inverted analemmatic sundial on the example of belogorsk sundial of the bronze age |
topic | cup marks slab sundial inverted analemma bronze age accuracy of time measurement |
url | https://aaatec.org/art/a_vl18 |
work_keys_str_mv | AT vodolazhskayaln mathematicalmodelofinvertedanalemmaticsundialontheexampleofbelogorsksundialofthebronzeage |